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Finding the Fourth Proportional to 3,588.92, 4,953.16 and 2,017

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Solution

The fourth proportional to 3,588.92, 4,953.16 and 2,017 is: 2,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.92 : 4,953.16 = 2,017 : x
  2. Step 2: Convert to fraction form
    3,588.92/4,953.16 = 2,017/x
  3. Step 3: Cross multiply
    3,588.92x = 4,953.16 × 2,017
  4. Step 4: Simplify right side
    3,588.92x = 9,990,523.72
  5. Step 5: Solve for x
    x = 9,990,523.72/3,588.92
  6. Step 6: Final answer
    x = 2,783.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.